To calculate the average of the given numbers, follow these steps:

1. Add all the numbers together.
2. Divide the sum by the total number of values.

Here are the given values:

8.5, 7.3, 8.4, 7.4, 8.1, 7.8, 7.9, 7, 6.7, 7.5, 8.3, 8, 8, 8, 8.2, 9.3, 8.4, 8.15, 8.1, 7.9, 8.2, 7.3, 7.8, 7.4, 8.2, 8, 8.2, 8.2, 7, 7.1, 8, 8.1, 7.1, 8, 8.1, 7.5, 8.1, 8, 7.1, 7.6, 7.8, 7.4, 7.6, 7.85, 7.9, 8.1, 7.9.

Step 1: Add all the numbers:

$8.5 + 7.3 + 8.4 + 7.4 + 8.1 + 7.8 + 7.9 + 7 + 6.7 + 7.5 + 8.3 + 8 + 8 + 8 + 8.2 + 9.3 + 8.4 + 8.15 + 8.1 + 7.9 + 8.2 + 7.3 + 7.8 + 7.4 + 8.2 + 8 + 8.2 + 8.2 + 7 + 7.1 + 8 + 8.1 + 7.1 + 8 + 8.1 + 7.5 + 8.1 + 8 + 7.1 + 7.6 + 7.8 + 7.4 + 7.6 + 7.85 + 7.9 + 8.1 + 7.9 = 358.45$

Step 2: Count the number of values:

There are 50 values.

Step 3: Calculate the average:

$\text{Average} = \frac{358.45}{50} = 7.169$

So, the average of the given numbers is 7.169.

Would you like more details or have any further questions on this calculation?

Here are some related questions for deeper exploration:

1. How can you interpret averages in different contexts (e.g., grades, measurements)?
2. How does the presence of extreme values (outliers) affect the average?
3. What is the difference between the mean and the median?
4. How do you calculate the range and standard deviation of a data set?
5. How can you visualize data using graphs (e.g., histograms, box plots)?

Tip: Averages can be skewed by outliers (extreme values). In such cases, consider using the median for a better representation of central tendency.